What is the Greatest Common Factor of 46190 and 46210?

Greatest common factor (GCF) of 46190 and 46210 is 10.

GCF(46190,46210) = 10

We will now calculate the prime factors of 46190 and 46210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46190 and 46210.

How to find the GCF of 46190 and 46210?

We will first find the prime factorization of 46190 and 46210. After we will calculate the factors of 46190 and 46210 and find the biggest common factor number .

Step-1: Prime Factorization of 46190

Prime factors of 46190 are 2, 5, 31, 149. Prime factorization of 46190 in exponential form is:

46190 = 2¹ × 5¹ × 31¹ × 149¹

Step-2: Prime Factorization of 46210

Prime factors of 46210 are 2, 5, 4621. Prime factorization of 46210 in exponential form is:

46210 = 2¹ × 5¹ × 4621¹

Step-3: Factors of 46190

List of positive integer factors of 46190 that divides 46190 without a remainder.

1, 2, 5, 10, 31, 62, 149, 155, 298, 310, 745, 1490, 4619, 9238, 23095

Step-4: Factors of 46210

List of positive integer factors of 46210 that divides 46190 without a remainder.

1, 2, 5, 10, 4621, 9242, 23105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46190 and 46210. The biggest common factor number is the GCF number.
So the greatest common factor 46190 and 46210 is 10.

Also check out the Least Common Multiple of 46190 and 46210